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Finding the Fourth Proportional to 7,648, 10,575.02 and 6,663.84

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Solution

The fourth proportional to 7,648, 10,575.02 and 6,663.84 is: 9,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648 : 10,575.02 = 6,663.84 : x
  2. Step 2: Convert to fraction form
    7,648/10,575.02 = 6,663.84/x
  3. Step 3: Cross multiply
    7,648x = 10,575.02 × 6,663.84
  4. Step 4: Simplify right side
    7,648x = 70,470,241.28
  5. Step 5: Solve for x
    x = 70,470,241.28/7,648
  6. Step 6: Final answer
    x = 9,214.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.